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We provide extended evidence that mode-coupling theory (MCT) of supercooled liquids for the ${\mathsf F}_{12}$ schematic model admits a microscopic realization based on facilitated spin models with tunable facilitation. Depending on the…

无序系统与神经网络 · 物理学 2012-08-24 Jeferson J. Arenzon , Mauro Sellitto

We show that facilitated spin mixtures with a tunable facilitation reproduce, on a Bethe lattice, the simplest higher-order singularity scenario predicted by the mode-coupling theory (MCT) of liquid-glass transition. Depending on the…

无序系统与神经网络 · 物理学 2011-01-04 Mauro Sellitto , Daniele De Martino , Fabio Caccioli , Jeferson J. Arenzon

We show that facilitated spin models of cooperative dynamics introduced by Fredrickson and Andersen display on Bethe lattices a glassy behaviour similar to the one predicted by the mode-coupling theory of supercooled liquids and the…

统计力学 · 物理学 2009-11-10 Mauro Sellitto , Giulio Biroli , Cristina Toninelli

We show that the relaxation dynamics near a glass transition with continuous ergodicity breaking can be endowed with a geometric interpretation based on percolation theory. At mean-field level this approach is consistent with the…

统计力学 · 物理学 2014-09-05 Jeferson J. Arenzon , Antonio Coniglio , Annalisa Fierro , Mauro Sellitto

We present an extensive treatment of the generalized mode-coupling theory (GMCT) of the glass transition, which seeks to describe the dynamics of glass-forming liquids using only static structural information as input. This theory amounts…

统计力学 · 物理学 2016-07-05 Liesbeth M. C. Janssen , Peter Mayer , David R. Reichman

We present mode-coupling theory (MCT) results for densely packed hard-sphere fluids confined between two parallel walls and compare them quantitatively to computer simulations. The numerical solution of MCT is calculated for the first time…

软凝聚态物质 · 物理学 2023-05-10 Gerhard Jung , Thomas Franosch

It has been recently established that heterogeneous bootstrap percolation and related dynamic facilitation models exhibit a complex hierarchy of continuous and discontinuous transitions depending on lattice connectivity and kinetic…

统计力学 · 物理学 2015-06-12 Mauro Sellitto

We consider the Mode Coupling Theory (MCT) of Glass transition for a Binary fluid. The Equations of Nonlinear Fluctuating Hydrodynamics are obtained with a proper choice of the slow variables corresponding to the conservation laws. The…

统计力学 · 物理学 2009-11-07 Upendra Harbola , Shankar P. Das

We develop a mode coupling theory(MCT) to study the nonequilibrium glass transition behavior of a mono-disperse mixture of active-passive hard-sphere particles. The MCT equations clearly demonstrate that the glass transition is shifted to…

软凝聚态物质 · 物理学 2015-06-10 Huai Ding , Mengkai Feng , Huijun Jiang , Zhonghuai Hou

The mode-coupling theory (MCT) of the glass transition ranks among the most successful first-principles kinetic theories to describe glassy dynamics. However, MCT does not fully account for crucial aspects of the dynamics near the glass…

软凝聚态物质 · 物理学 2024-08-22 Ilian Pihlajamaa , Liesbeth M. C. Janssen

Sticky hard spheres, i.e., hard particles decorated with a short-ranged attractive interaction potential, constitute a relatively simple model with highly non-trivial glassy dynamics. The mode-coupling theory of the glass transition (MCT)…

软凝聚态物质 · 物理学 2021-08-26 Chengjie Luo , Liesbeth M. C. Janssen

The complex behavior of confined fluids arising due to a competition between layering and local packing can be disentangled by considering quasi-confined liquids, where periodic boundary conditions along the confining direction restore…

软凝聚态物质 · 物理学 2020-09-03 Lukas Schrack , Charlotte F. Petersen , Gerhard Jung , Michele Caraglio , Thomas Franosch

We compare dynamical heterogeneities in equilibrated supercooled liquids and in the nonequilibrium glassy state within the framework of the random first order transition theory. Fluctuating mobility generation and transport in the glass are…

统计力学 · 物理学 2014-01-21 Apiwat Wisitsorasak , Peter G. Wolynes

We discuss some generic features of the dynamics of glass-forming liquids close to the glass transition singularity of the idealized mode-coupling theory (MCT). The analysis is based on a recent model by one of the authors for the…

统计力学 · 物理学 2015-10-07 Tommaso Rizzo , Thomas Voigtmann

The emergence of glassy dynamics and the glass transition in dense disordered systems is still not fully understood theoretically. Mode-coupling theory (MCT) has shown to be effective in describing some of the non-trivial features of glass…

软凝聚态物质 · 物理学 2021-07-20 Simone Ciarella , Chengjie Luo , Vincent E. Debets , Liesbeth M. C. Janssen

Dense or glassy active matter, as a result of its remarkable resemblance to passive glass-forming materials, is enjoying increasing scientific interest. To better grasp the subtle effect of active motion on the process of vitrification, a…

软凝聚态物质 · 物理学 2023-10-20 Vincent E. Debets , Liesbeth M. C. Janssen

There exists a variety of theories of the glass transition and many more numerical models. But because the models need built-in complexity to prevent crystallization, comparisons with theory can be difficult. We study the dynamics of a…

统计力学 · 物理学 2010-04-16 P. Charbonneau , A. Ikeda , J. A. van Meel , K. Miyazaki

Multiple distinct glass states occur in binary hard-sphere mixtures with constituents of very disparate sizes according to the mode-coupling theory of the glass transition (MCT), distinguished by considering whether small particles remain…

软凝聚态物质 · 物理学 2015-05-20 Th. Voigtmann

We propose an interacting lattice gas model of structural glass characterized by particle distinguishability and site-particle-dependent random nearest-neighboring particle interactions. This incorporates disorder quenched in the…

统计力学 · 物理学 2017-05-24 Ling-Han Zhang , Chi-Hang Lam

Extending mode-coupling theory, we elaborate a microscopic theory for the glass transition of liquids confined between two parallel flat hard walls. The theory contains the standard MCT equations in bulk and in two dimensions as limiting…

软凝聚态物质 · 物理学 2010-09-15 Simon Lang , Vitalie Botan , Martin Oettel , David Hajnal , Thomas Franosch , Rolf Schilling
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